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Finding the Fourth Proportional to 7,738.40, 11,598.10 and 3,053.72

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Solution

The fourth proportional to 7,738.40, 11,598.10 and 3,053.72 is: 4,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.40 : 11,598.10 = 3,053.72 : x
  2. Step 2: Convert to fraction form
    7,738.40/11,598.10 = 3,053.72/x
  3. Step 3: Cross multiply
    7,738.40x = 11,598.10 × 3,053.72
  4. Step 4: Simplify right side
    7,738.40x = 35,417,349.93
  5. Step 5: Solve for x
    x = 35,417,349.93/7,738.40
  6. Step 6: Final answer
    x = 4,576.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.